Duality and Dilaton
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arXiv
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| Format: | Preprint |
| Publié: |
2026
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| _version_ | 1866918381377028096 |
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| author | Tseytlin, A. A. |
| author_facet | Tseytlin, A. A. |
| contents | We review and elaborate on the issue of the dilaton transformation under the usual $r \rightarrow α'/r$ target space duality and its non-static generalization (or $σ$-model duality). It is found that the transformation law $r \rightarrow α'/r$, $ϕ\rightarrow ϕ- \ln(r/\sqrt{α'})$ which guarantees duality at the one-loop $σ$-model level should be modified at two (and higher) loop order. The non-static duality is illustrated on the example of cosmological solutions in $D \ge 2$ with time-dependent radii of space torus. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_09586 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Duality and Dilaton Tseytlin, A. A. High Energy Physics - Theory General Relativity and Quantum Cosmology We review and elaborate on the issue of the dilaton transformation under the usual $r \rightarrow α'/r$ target space duality and its non-static generalization (or $σ$-model duality). It is found that the transformation law $r \rightarrow α'/r$, $ϕ\rightarrow ϕ- \ln(r/\sqrt{α'})$ which guarantees duality at the one-loop $σ$-model level should be modified at two (and higher) loop order. The non-static duality is illustrated on the example of cosmological solutions in $D \ge 2$ with time-dependent radii of space torus. |
| title | Duality and Dilaton |
| topic | High Energy Physics - Theory General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2603.09586 |